12791
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12792
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12790
- Möbius Function
- -1
- Radical
- 12791
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 125
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1525
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(0) = 1, a(n) = 29*n^2 + 2 for n>0.at n=21A010019
- Number of 5-tuples of different integers from [ 1,n ] with no common factors among pairs.at n=33A015698
- Primes that remain prime through 3 iterations of function f(x) = 10x + 3.at n=34A023300
- phi(s(n^3)) is a square, where s(n) is sigma(n)-n (A001065).at n=20A063798
- a(0) = 2; a(n) for n > 0 is the smallest prime greater than a(n-1) that differs from a(n-1) by a square.at n=42A073609
- Primes that are a concatenation of a prime and its first digit.at n=38A085414
- Primes that are a sum of twin primes and their indices.at n=38A088187
- Lesser prime in pair prime(k) +/- k for some k.at n=24A107636
- Odd primes generated recursively: a(1) = 3, a(n) = Min {p is prime; p divides Q+2}, where Q is the product of previous terms in the sequence.at n=10A125045
- Mountain primes.at n=31A134951
- Numbers k such that (k,k+8) forms a pair of consecutive primes ending respectively in 1 and 9.at n=33A141026
- Primes congruent to 26 mod 37.at n=41A142135
- Primes congruent to 40 mod 41.at n=34A142237
- Primes congruent to 20 mod 43.at n=38A142269
- Primes congruent to 7 mod 47.at n=34A142358
- Primes congruent to 2 mod 49.at n=40A142415
- Primes congruent to 18 mod 53.at n=31A142548
- Primes congruent to 31 mod 55.at n=39A142623
- Primes congruent to 23 mod 57.at n=41A142679
- Primes congruent to 47 mod 59.at n=26A142774